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Finding the Fourth Proportional to 182,039, 273,104.58 and 50,711

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Solution

The fourth proportional to 182,039, 273,104.58 and 50,711 is: 76,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,039 : 273,104.58 = 50,711 : x
  2. Step 2: Convert to fraction form
    182,039/273,104.58 = 50,711/x
  3. Step 3: Cross multiply
    182,039x = 273,104.58 × 50,711
  4. Step 4: Simplify right side
    182,039x = 13,849,406,356.38
  5. Step 5: Solve for x
    x = 13,849,406,356.38/182,039
  6. Step 6: Final answer
    x = 76,079.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.